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Dynamic analysis of a tube bundle with fluid-structure interaction modelling using a homogenisation method

机译:使用均质化方法通过流固耦合模型对管束进行动态分析

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The present paper is concerned with the dynamic analysis of a tube bundle with fluid-structure interaction (FSI) modelling. Modelling of FSI is performed with a homogenisation approach which is compared with the classical coupled approach; this latter is based on a direct finite element discretisation of the coupled problem with all tubes modelling, while the former lies on a description of the fluid-tubes system through an equivalent continuous medium, characterised by a set of dynamic equations which describe the behaviour of the tubes and the fluid from a global point of view. Theoretical background of the method is recalled, numerical implementation in a finite element code is exposed and comparison of the "homogenisation" and "coupled" method is proposed in the case of a 10 × 10 tube bundle, in 2D and 3D configurations. Calculation of eigenmode shapes, frequencies and effective masses with the two methods is performed, as well as the dynamic response of the coupled system subjected to seismic loading. It is concluded that: (ⅰ) the computational time are significantly lowered when using the homogenisation method instead of the coupled method, since the problem size is reduced by 90%; (ⅱ) the tube bundle dynamic is described in a space-averaged manner, which is sufficient to account for the main inertial coupling effects: no significant discrepancies are reported in the modal and dynamic analysis, when performed with the homogenisation and the coupled approaches, which makes the proposed method of practical interest for future engineering applications.
机译:本文关注的是具有流固耦合(FSI)建模的管束动力学分析。 FSI的建模使用均质化方法进行,该方法与经典耦合方法进行了比较。后者是基于对所有管道建模的耦合问题的直接有限元离散化,而前者则是基于通过等效连续介质对流体管道系统的描述,其特征在于一组动力学方程式,这些方程式描述了管道的行为。从全局的角度来看管和流体。回顾了该方法的理论背景,暴露了在有限元代码中的数值实现方式,并提出了在10×10管束,2D和3D配置的情况下“均质化”和“耦合”方法的比较。用两种方法计算本征模形状,频率和有效质量,以及耦合系统在地震荷载作用下的动力响应。结论:(ⅰ)使用均质化方法而不是耦合方法时,计算时间显着减少,因为问题大小减少了90%; (ⅱ)以空间平均的方式描述了管束动力学,这足以说明主要的惯性耦合效应:在使用均质化和耦合方法进行模态和动力学分析时,没有报告显着差异,这使得所提出的方法对于将来的工程应用具有实际意义。

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